The following graph represents the curves of an ideal gas (where is the temperature and the volume) at three pressures and compared with those of Charles's law represented as dotted lines. Then the correct relation is

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Solution

Q.
The following graph represents the $T - V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_{1}, P_{2}$ and $P_{3}$ compared with those of Charles's law represented as dotted lines.

Then the correct relation is [2024]

1 $P_{3} > P_{2} > P_{1}$

2 $P_{1} > P_{3} > P_{2}$

3 $P_{2} > P_{1} > P_{3}$

4 $P_{1} > P_{2} > P_{3}$

Ans.
(4)

According to Charle’s law, when the pressure of a gas is kept constant, the volume of the gas is directly proportional to the temperature of the gas.

i.e., $V \propto T \Rightarrow \frac{V}{T} = Constant$

Therefore, the plot of V vs T is a straight line passing through the origin.

So, $P_{1} > P_{2} > P_{3}$

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